Cartesian Closed Categories of Domains PDF Download
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Author: A. Jung
Publisher:
ISBN:
Category : Closed categories (Mathematics)
Languages : en
Pages : 122
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Book Description
Author: A. Jung
Publisher:
ISBN:
Category : Closed categories (Mathematics)
Languages : en
Pages : 122
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Book Description
Author: Achim Jung
Publisher:
ISBN:
Category :
Languages : de
Pages : 0
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Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 20
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Book Description
Author: Michael B. Smyth
Publisher:
ISBN:
Category : Integral domains
Languages : en
Pages : 13
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Book Description
Author: Michael Huth
Publisher:
ISBN:
Category : Lambda calculus
Languages : en
Pages : 20
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Book Description
Every bounded complete dcpo D with bottom has a prim-algebraic quotient D. We prove that [formula] is a retract of [formula] in PRIME. Let dSCOTT be the category of distributive Scott-domains with maps preserving all non-empty suprema. We show that PRIME is the maximal cartesian closed category in dSCOTT."
Author: G. Zhang
Publisher: Springer Science & Business Media
ISBN: 1461204453
Category : Computers
Languages : en
Pages : 264
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Book Description
This monograph studies the logical aspects of domains as used in de notational semantics of programming languages. Frameworks of domain logics are introduced; these serve as foundations for systematic derivations of proof systems from denotational semantics of programming languages. Any proof system so derived is guaranteed to agree with denotational se mantics in the sense that the denotation of any program coincides with the set of assertions true of it. The study focuses on two categories for dena tational semantics: SFP domains, and the less standard, but important, category of stable domains. The intended readership of this monograph includes researchers and graduate students interested in the relation between semantics of program ming languages and formal means of reasoning about programs. A basic knowledge of denotational semantics, mathematical logic, general topology, and category theory is helpful for a full understanding of the material. Part I SFP Domains Chapter 1 Introduction This chapter provides a brief exposition to domain theory, denotational se mantics, program logics, and proof systems. It discusses the importance of ideas and results on logic and topology to the understanding of the relation between denotational semantics and program logics. It also describes the motivation for the work presented by this monograph, and how that work fits into a more general program. Finally, it gives a short summary of the results of each chapter. 1. 1 Domain Theory Programming languages are languages with which to perform computa tion.
Author: Klaus Keimel
Publisher: Springer Science & Business Media
ISBN: 9401006547
Category : Philosophy
Languages : en
Pages : 283
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Book Description
Domain theory is a rich interdisciplinary area at the intersection of logic, computer science, and mathematics. This volume contains selected papers presented at the International Symposium on Domain Theory which took place in Shanghai in October 1999. Topics of papers range from the encounters between topology and domain theory, sober spaces, Lawson topology, real number computability and continuous functionals to fuzzy modelling, logic programming, and pi-calculi. This book is a valuable reference for researchers and students interested in this rapidly developing area of theoretical computer science.
Author: Roberto M. Amadio
Publisher: Cambridge University Press
ISBN: 0521622778
Category : Computers
Languages : en
Pages : 504
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Book Description
Graduate text on mathematical foundations of programming languages, and operational and denotational semantics.
Author: G. Gierz
Publisher: Cambridge University Press
ISBN: 9780521803380
Category : Mathematics
Languages : en
Pages : 640
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Book Description
Table of contents
Author: Michael Huth
Publisher:
ISBN:
Category : Lambda calculus
Languages : en
Pages : 11
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Book Description
If C is a full subcategory of DCPO such that it is closed under domains of natural transformations, then C is cartesian closed and complete; if additionally C contains an isomorphic copy of the flat natural numbers, then C has a non-algebraic object."
